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Finding the Third Proportional to 287,995.50 and 617,625

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Solution

The third proportional to 287,995.50 and 617,625 is: 1,324,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,995.50 : 617,625 = 617,625 : x
  2. Step 2: Convert to fraction form
    287,995.50/617,625 = 617,625/x
  3. Step 3: Cross multiply
    287,995.50x = 617,625 × 617,625
  4. Step 4: Simplify right side
    287,995.50x = 381,460,640,625
  5. Step 5: Solve for x
    x = 381,460,640,625/287,995.50
  6. Step 6: Final answer
    x = 1,324,536.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.